Matches in SemOpenAlex for { <https://semopenalex.org/work/W2972870061> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2972870061 abstract "Document exchange and error correcting codes are two fundamental problems regarding communications. In the first problem, Alice and Bob each holds a string, and the goal is for Alice to send a short sketch to Bob, so that Bob can recover Alice's string. In the second problem, Alice sends a message with some redundant information to Bob through a channel that can add adversarial errors, and the goal is for Bob to correctly recover the message despite the errors. In a recent work cite{CJLW18}, the authors constructed explicit deterministic document exchange protocols and binary error correcting codes for edit errors with almost optimal parameters. Unfortunately, the constructions in cite{CJLW18} do not work for other common errors such as block transpositions. In this paper, we generalize the constructions in cite{CJLW18} to handle a much larger class of errors. These include bursts of insertions and deletions, as well as block transpositions. Specifically, we consider document exchange and error correcting codes where the total number of block insertions, block deletions, and block transpositions is at most $k leq alpha n/log n$ for some constant $0<alpha<1$. In addition, the total number of bits inserted and deleted by the first two kinds of operations is at most $t leq beta n$ for some constant $0<beta<1$, where $n$ is the length of Alice's string or message. We construct explicit, deterministic document exchange protocols with sketch size $ O( (k log n +t) log^2 frac{n}{klog n + t} )$ and explicit binary error correcting code with $O(k log n log log log n+t)$ redundant bits." @default.
- W2972870061 created "2019-09-19" @default.
- W2972870061 creator A5005453022 @default.
- W2972870061 creator A5014279694 @default.
- W2972870061 creator A5022526821 @default.
- W2972870061 creator A5090382335 @default.
- W2972870061 date "2018-09-03" @default.
- W2972870061 modified "2023-09-26" @default.
- W2972870061 title "Block Edit Errors with Transpositions: Deterministic Document Exchange Protocols and Almost Optimal Binary Codes" @default.
- W2972870061 cites W131559419 @default.
- W2972870061 cites W1647671624 @default.
- W2972870061 cites W1814887977 @default.
- W2972870061 cites W1982055477 @default.
- W2972870061 cites W2029448413 @default.
- W2972870061 cites W2105597036 @default.
- W2972870061 cites W2108572348 @default.
- W2972870061 cites W2127579297 @default.
- W2972870061 cites W2146101030 @default.
- W2972870061 cites W2153672863 @default.
- W2972870061 cites W2163137752 @default.
- W2972870061 cites W2261094785 @default.
- W2972870061 cites W2399793309 @default.
- W2972870061 cites W2751518651 @default.
- W2972870061 cites W2765212647 @default.
- W2972870061 cites W2797057688 @default.
- W2972870061 cites W2963044831 @default.
- W2972870061 cites W2963132305 @default.
- W2972870061 cites W2963700977 @default.
- W2972870061 cites W2963733306 @default.
- W2972870061 cites W2964011803 @default.
- W2972870061 cites W2964155241 @default.
- W2972870061 cites W3102210871 @default.
- W2972870061 cites W2583430868 @default.
- W2972870061 hasPublicationYear "2018" @default.
- W2972870061 type Work @default.
- W2972870061 sameAs 2972870061 @default.
- W2972870061 citedByCount "0" @default.
- W2972870061 crossrefType "posted-content" @default.
- W2972870061 hasAuthorship W2972870061A5005453022 @default.
- W2972870061 hasAuthorship W2972870061A5014279694 @default.
- W2972870061 hasAuthorship W2972870061A5022526821 @default.
- W2972870061 hasAuthorship W2972870061A5090382335 @default.
- W2972870061 hasConcept C11413529 @default.
- W2972870061 hasConcept C114614502 @default.
- W2972870061 hasConcept C118615104 @default.
- W2972870061 hasConcept C127964579 @default.
- W2972870061 hasConcept C157486923 @default.
- W2972870061 hasConcept C199360897 @default.
- W2972870061 hasConcept C2777027219 @default.
- W2972870061 hasConcept C2777210771 @default.
- W2972870061 hasConcept C2778222013 @default.
- W2972870061 hasConcept C2779231336 @default.
- W2972870061 hasConcept C33923547 @default.
- W2972870061 hasConcept C37914503 @default.
- W2972870061 hasConcept C41008148 @default.
- W2972870061 hasConcept C48372109 @default.
- W2972870061 hasConcept C94375191 @default.
- W2972870061 hasConceptScore W2972870061C11413529 @default.
- W2972870061 hasConceptScore W2972870061C114614502 @default.
- W2972870061 hasConceptScore W2972870061C118615104 @default.
- W2972870061 hasConceptScore W2972870061C127964579 @default.
- W2972870061 hasConceptScore W2972870061C157486923 @default.
- W2972870061 hasConceptScore W2972870061C199360897 @default.
- W2972870061 hasConceptScore W2972870061C2777027219 @default.
- W2972870061 hasConceptScore W2972870061C2777210771 @default.
- W2972870061 hasConceptScore W2972870061C2778222013 @default.
- W2972870061 hasConceptScore W2972870061C2779231336 @default.
- W2972870061 hasConceptScore W2972870061C33923547 @default.
- W2972870061 hasConceptScore W2972870061C37914503 @default.
- W2972870061 hasConceptScore W2972870061C41008148 @default.
- W2972870061 hasConceptScore W2972870061C48372109 @default.
- W2972870061 hasConceptScore W2972870061C94375191 @default.
- W2972870061 hasOpenAccess W2972870061 @default.
- W2972870061 hasRelatedWork W131559419 @default.
- W2972870061 hasRelatedWork W1516438277 @default.
- W2972870061 hasRelatedWork W1556583494 @default.
- W2972870061 hasRelatedWork W1985623009 @default.
- W2972870061 hasRelatedWork W2010796327 @default.
- W2972870061 hasRelatedWork W2062881383 @default.
- W2972870061 hasRelatedWork W2186154531 @default.
- W2972870061 hasRelatedWork W2295416995 @default.
- W2972870061 hasRelatedWork W2579869238 @default.
- W2972870061 hasRelatedWork W2790390012 @default.
- W2972870061 hasRelatedWork W2890111719 @default.
- W2972870061 hasRelatedWork W2949636467 @default.
- W2972870061 hasRelatedWork W2962832006 @default.
- W2972870061 hasRelatedWork W2963733306 @default.
- W2972870061 hasRelatedWork W2973151800 @default.
- W2972870061 hasRelatedWork W3001783123 @default.
- W2972870061 hasRelatedWork W3013652109 @default.
- W2972870061 hasRelatedWork W3039569545 @default.
- W2972870061 hasRelatedWork W3094153925 @default.
- W2972870061 hasRelatedWork W3159448721 @default.
- W2972870061 isParatext "false" @default.
- W2972870061 isRetracted "false" @default.
- W2972870061 magId "2972870061" @default.
- W2972870061 workType "article" @default.